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nataly862011 [7]
3 years ago
10

Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16

, 20 d. 13, 17, 23 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

B. 12,17,23

Step-by-step explanation:

2,3,5,8, _,_,_

2,3 is increased by 1

3,5 is increased by 2

5,8 is increased by 3.  theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.

Now knowing it is 4,5,6 we need to add, start adding.

8+4=12. Which answers have 12 in them? B and C.

We know 12 is the next number, now we add 5 to that.

12+5=17.

B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.

17+6=23. Its true that it is B, as B is 12.17.23.

You might be interested in
What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl
Anestetic [448]

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates (x_1, y_1) and (x_2,y_2), the slope of the line passing through the two points is given by the equation

m=\frac{y_2-y_1}{x_2-x_1}

In this problem, the coordinates of the two points are:

(x_1,y_1)=(-4,-2)

and

(x_2,y_2)=(-4,-22)

which means:

x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22

Substituting all these values into the equation of m, we find the slope of the line:

m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

7 0
3 years ago
Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
3 years ago
Can anyone answer this
notka56 [123]
I can’t seem to look at the bottom two answers and the two ( A and B) are not correct. So you’re left with either C or D
8 0
3 years ago
PLEASE HELP
Harlamova29_29 [7]
The sum of exterior angles in total: 360 degrees

6th angle = 78+50+89+37+65= 319
Then 360-319= 41 degrees
7 0
2 years ago
If i multiply by 5 and subtract 63 i get the same answer if i multiply 3 and subtract 11 is the answer 26
aev [14]
Yes

26 x 5 - 63 = 67

26 x 3 - 11 = 67
3 0
3 years ago
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